Set Theory and Logic

1906 Submissions

[7] viXra:1906.0499 [pdf] submitted on 2019-06-27 08:02:39

The Existence of Equilibrium States in Dynamic Systems with Attractive Interaction

Authors: Elizabeth Lemeshko
Comments: 4 Pages. Text in Ukrainian. Mohyla Mathematical Journal, Vol 1 (2018) http://mmj.ukma.edu.ua/article/view/152602

Nowadays, science is characterized by needs of the study of various complex processes and phenomena’s. Today’s research of complex and dynamical systems is one of the most advanced ways of research and evolution of the modern world. Models of biology and ecology, physical models, various economic and social models are typical examples of dynamic systems. The concept of an interactive complex system in modern science is a main tool for construction of mathematical models for solving modern civilization problems and development. The dynamical systems approach to conflict is relatively new, but it has beginning in different research fields. Theory of dynamic systems helps us to understand the experiments, build the mathematical model of iterations and examine behavior and relations between opponents, like distribution of resources and territory, population growing etc. This is a challenging problem of finding and achieving a compromise state for opponents on a common territory has different options to define the task and to choose conflict interaction. In 2016, the monograph by V. Koshmanenko where was introduced new approach for dynamic system of conflict that based on interactions of the opponents in the form probability distribution in the disputed area was published. In particular, presented the concept of a complex dynamic system with attractive interaction. The relevance of this research is improving new dynamical system and researching for a new application of abstract models in everyday life. In this paper briefly fundamentals of the theory of dynamical systems described and the theorem on the existence of a equilibrium state in a the new, perspective for research, dynamical system with attractive interaction in terms of probability distributions (measures) and their densities, formulated and proved.
Category: Set Theory and Logic

[6] viXra:1906.0407 [pdf] replaced on 2019-07-17 13:33:25

Visualizing the Distributions and Isosurfaces of Some Traditional and Non-Traditional Quaternion Fractal Sets

Authors: Shawn Halayka
Comments: 18 Pages.

After a concise introduction, the length, displacement, and magnitude distributions and isosurfaces related to some quaternion fractal sets are visualized.
Category: Set Theory and Logic

[5] viXra:1906.0356 [pdf] submitted on 2019-06-19 14:06:44

The Continued Fractions and the Real Numbers

Authors: Antoine Balan
Comments: 1 page, written in english

We give a new definition of the real numbers by mean of the continued fractions.
Category: Set Theory and Logic

[4] viXra:1906.0196 [pdf] submitted on 2019-06-11 07:05:52

The Proof is in the Pudding: an Outline of New Proof of the Existence of God

Authors: Victor Christianto, Robert Neil Boyd
Comments: 6 Pages. This paper has been submitted to a journal. Comments are welcome

Starting with a review of few known arguments to prove the existence of God, we discuss our argument i.e. Nature's order, Pascal's void and Arrow of Time as Neutrosophic triadic to prove the existence of God. The most convincing one is what we call : the proof is in the pudding, i.e. how direct experience with God is the only way to fill everyone's inner void (cf. Pascal). To write shortly, our spiritual inner void can be filled by direct experience with God. This is what we suggest: the proof is in the pudding.
Category: Set Theory and Logic

[3] viXra:1906.0190 [pdf] submitted on 2019-06-11 15:04:27

Понятие множества и его элементов

Authors: Анатолий Вайчунас
Comments: 2 Pages. in Russian. Только e-meil диалог = onli e-meil dialogue

Понятие множества и его элементов полагается, в теории множеств, интуитивно известным и неопределяемо исходным. Однако, оно является обобщаемым на основе таких понятий как многообразие и разнообразие математических предметов.
Category: Set Theory and Logic

[2] viXra:1906.0140 [pdf] replaced on 2019-07-13 09:21:21

The Logical Content of Inequalities

Authors: Ilija Barukčić
Comments: 20 pages. Copyright © 2019 by Ilija Baruk�?ić, Jever, Germany. All rights reserved. Published by: Ilija Baruk�?ić "The Interior Logic of Inequalities" IJMTT, 65 (7) (2019): 146-155. doi: 10.14445/22315373/IJMTT-V65I7P524

Objective. From a theoretical point of view, the demarcation between science and (fantastical) pseudoscience is in necessary for both practical and theoretical reasons. One specific nature of pseudoscience in relation to science and other categories of human reasoning is the resistance to the facts. Methods. Several methods are analyzed which may be of use to prevent that belief is masqueraded genuinely as scientific knowledge. Results. Modus ponens, modus tollens and modus conversus are reanalyzed. Modus sine, logically equivalent to modus ponens is developed. Modus inversus and modus juris are described in detail. Conclusions. In our striving for knowledge, there is still much more scientific work to be done on the demarcation between science and pseudoscience. Keywords: non strict inequality, quantum mechanics, science, pseudoscience
Category: Set Theory and Logic

[1] viXra:1906.0017 [pdf] submitted on 2019-06-02 16:07:32

The Rebuttal of Colin James III's Refutation of Vidamor Cabannas’ Theory of Objectivity

Authors: Vidamor Cabannas
Comments: 11 Pages. More information and comments on Theory of Objectivity and Author Vidamor Cabannas can be found at www.theoryofobjectivity.com

I analyzed the refutation of the Theory of Objectivity performed by Colin James III in vixra.org/abs/1904.0549 and verified that the applied method as well as the values found were correct. However, there is an error in the conclusion, as it refutes the Theory of Objectivity instead of confirming it. The values found in Colin James III's refutation confirm the exact findings of the Theory of Objectivity. Therefore, as the values that were found confirm those presented by the theory, these values are a confirmation and not a refutation of the theory. In other words, the equation N + 1 = n – 1 is tautological, confirming the existence of a geometric entity that occurred before the onset of the universe, which the Theory of Objectivity calls Nothing. However, Nothing is a geometric entity incompatible with the existence of the universe, which forms a contradiction with non-tautological values at the atomic level. This is because in the era of Nothing, there is no space nor any other element other than the geometrical point known as Nothing. There is no reference. This geometric Nothing does not signify absolute zero and has an informative value. The Theory of Objectivity uses a logical and geometric model to demonstrate how the spherical point called Nothing transformed itself into universal space. Thus, it proves that absolute Nothing does not exist.
Category: Set Theory and Logic